When a production process is operating correctly, the resistance in ohms of electrical com- ponents produced has

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When a production process is operating correctly, the resistance in ohms of electrical com- ponents produced has a normal distribution with mean 92.0 and standard deviation 3.6. A random sample of four components was taken.

(a) Find the mean of the sampling distribution of the sample mean resistance.

(b) Find the variance of the sample mean.

(c) Find the standard error of the sample mean.

(d) What is the probability that the sample mean exceeds 93.0 ohms?

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